Interval Valued Intuitionistic Fuzzy Weak Bi-Ideals of Gamma Near-Rings

  • Authors

    • K. Arulmozhi
    • V. Chinnadurai
    • A. Swaminathan
    https://doi.org/10.14419/ijet.v7i4.10.28813

    Received date: April 12, 2019

    Accepted date: April 12, 2019

    Published date: April 3, 2026

  • Γ-near-rings, intuitionistic fuzzy set, fuzzy weak bi-ideals, interval valued fuzzy weak bi-ideals.
  • Abstract

    In this paper, we introduce the concept of interval valued intuitionistic fuzzy weak bi-ideals of Γ-near-rings is a generalized concept of interval valued fuzzy weak bi-ideals of Γ- near-rings. We also characterize some results and illustrate our examples.

  • References

    1. Atanassov.K, Intuitionistic fuzzy sets, Fuzzy sets and systems. 20 (1986) 87-96.
    2. Booth.G.L, A note on -near-rings, Stud. Sci. Math. Hung. 23 (1988) 471-475.
    3. Chandrasekhara Rao and V. Swaminathan, Anti-homomorphism in fuzzy ideals, International scholarly and scientific research and in-novation. 4(8) (2010) 1211-1214.
    4. Chinnadurai.V and Kadalarasi.S, Interval valued fuzzy weak bi-ideals of -near-rings, Journal of Linear and Topological Algebra, Vol 6 (3) (2017)223-236.
    5. Chinnadurai.V, Arulmozhi.K and Kadalarasi.S, Interval valued fuzzy ideals of -near-rings, Bulletin of the International Mathemat-ical Virtual Institute, Volume 8, (2018), 301-314.
    6. Chinnadurai. V, Arulmozhi K. and Kadalarasi S., Characterization of fuzzy weak bi-ideals of -near-rings, International journal of Al-gebra and statistics, vol 6 (1-2)(2017), 95-104.
    7. Chinnadurai.V, Arulmozhi.K and Kadalarasi.S, Interval valued fuzzy bi-ideals of -near-rings, Annamalai University Science Jour-nal 51 (2018) 15-22.
    8. Chinnadurai.V and Kadalarasi.S, interval valued fuzzy quasi-ideals of near-rings, Annals of Fuzzy Mathematics and Informatics. 11 (2016) 621-631.
    9. Jun.Y.B ,Sapanic.M and Ozturk.M.A, Fuzzy ideals in gamma near-rings, Tr. J. of Mathematics 22. (1998) 449-549.
    10. Kim.S.D and Kim.H.S, On fuzzy ideals of near-rings, Bulletin Ko-rean Mathamatical Society. 33 (1996) 593-601.
    11. Manikantan.T, Fuzzy bi-ideals of near-rings, Journal of Fuzzy Mathematics. 17(3) (2009) 659-671.
    12. Murali krishna Rao.M and Venkateswarlu.B , Anti-fuzzy k-ideals and anti-homomorphism of -semirings, Journal of international Mathematical Virtual institute. 5 (2015) 37-54.
    13. Meenakumari.N and Tamizh Chelvam.T, Fuzzy bi-ideals in gamma near-rings, Journal of algebra Discrete Structures. 9(1,2) (2011) 43-52.
    14. Narayanan.AL and Manikatan.T, fuzzy subnear-rings and fuzzy ideals of near-rings, Journal of Applied Mathematics and Computing. 27 (2004) 983-998.
    15. Pilz.G, Near-rings, The theory and its applications, North-Holland publishing company Ameserdam 1983.
    16. Satyanarayana .Bh, Contributions to near-rings theory Doctoral Thesis, Nagarjuna University (1984)
    17. Tamizh Chelvam.T and Meenakumari.N, Bi-ideals of gamma near-rings, Southeast Bulletion of Mathematics. 27(2004) 983-998 .
    18. Thillaigovindan.N and Chinnadurai.V, Interval valued fuzzy quasi-ideals of semigroups, East Asian Mathematics Journal. 25(4) (2009)449-467.
    19. Thillaigovindan.N, Chinnadurai.V and Kadalarasi.S , Interval val-ued fuzzy ideals of nera-rings, The Journal of Fuzzy Mathematics. 23(2) (2015) 471-484.
    20. Thillaigovindan.N, Chinnadurai.V and Coumaressane.S, -fuzzy subsemigroups and -fuzzy ideals of regular -semigroups, Annals of Fuzzy Mathematics and Informatics. 11(4)(2016) 669-680.
    21. Yong Uk Cho, Tamizh Chelvam.T and Jayalakshmi.S, Weak bi-ideals of near-rings, J. Korea Soc. Math. Edue. Ser.B.Pure Appl. Math. 14(3)(2007) 153-159.
    22. Zadeh.L.A, Fuzzy sets, Inform and Control. 8 (1965) 338-353.
    23. Zadeh.L.A, The concept of a linguistic variable and its application to approximate reasoning, Inform., Sci. 8 (1975) 199-249.
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  • How to Cite

    Arulmozhi, K., Chinnadurai, V., & Swaminathan, A. (2026). Interval Valued Intuitionistic Fuzzy Weak Bi-Ideals of Gamma Near-Rings. International Journal of Engineering and Technology, 7(4.10), 1100-1104. https://doi.org/10.14419/ijet.v7i4.10.28813